1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
GrogVix [38]
3 years ago
9

A spherical exercise ball has a maximum diameter of 30 inches when filled with air. The ball was completely empty at the start,

and an electric air pump is filling it with air at the rate of 1600 cubic Inches per minute. The formula for the volume of a sphere is 4pi (r^3/3)
Part A Enter an equation for the amount of air still needed to fill the ball to its maximum volume, y, with respect to the number of minutes the pump has been pumping air into the ball, X.

Part B Enter the total amount of air, in cubic inches, still needed to fill the ball after the pump has been running for 4 minutes.

Part C Enter the estimated number of minutes it takes to pump up the ball to its maximum volume.
Mathematics
1 answer:
Alex73 [517]3 years ago
8 0

Answer:

A) A(t)  =  4500*π  -  1600*t

B) A(4)  =  7730 in³

C) t  =  8,8 sec

Step-by-step explanation:

The volume of the sphere is:

d max  =  30   r max  =  15 in

V(s) =  (4/3)*π*r³      V(s)  =   (4/3)*π* (15)³

V(s) = 4500*π

A)  Amount of air needed to fill the ball A(t)

A(t)  = Total max. volume of the sphere - rate of flux of air * time

A(t)  =  4500*π  -  1600*t    in³

B) After 4 minutes

A(4)  =  4500*π  - 6400

A(4)  =  14130 - 6400

A(4)  =  7730 in³

C)  A(t)  =  4500*π  -  1600*t  

when  A(t) = 0   the ball got its maximum volume then:

4500*π -  1600*t  =  0

t  =   14130/1600

t  =  8,8 sec

You might be interested in
When finding the slope of a line using a slope triangle, the____
Elenna [48]

Answer:

rise, run

Step-by-step explanation:

When finding the slope of a line using a slope triangle, the RISE length is divided by the RUN length. (I think. Sometimes the "divided by" makes me confused about which is on top, but I'm pretty sure this is right.)

6 0
3 years ago
What is the slope intercept form of the equation of the line?
beks73 [17]

Answer:

The slope-intercept form of the equation of the line is:

y = 2/3x + 2

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the points

  • (0, 2)
  • (3, 4)

(x₁, y₁) = (0, 2)

(x₂, y₂) = (3, 4)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [4 - 2] / [3 - 0]

               = 2 / 3

Thus, the slope of the line = m = 2/3

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 2

Thus, the y-intercept b = 2

now substituting m = 2/3 and b = 2 in the slope-intercept form

y = mx+b

y = 2/3x + 2

Therefore, the slope-intercept form of the equation of the line is:

y = 2/3x + 2

5 0
3 years ago
A number divided by 7 is 9
Alla [95]
The answer is 63.i hope this helped.

5 0
3 years ago
Read 2 more answers
II<br>3<br>Find 6 X 915. Show your work.​
love history [14]

Answer:

5490

Step-by-step explanation:

you multiply every number by 6 and you will get the answer

4 0
3 years ago
If 7 ounces of cola costs $.59. How much should 19 ounces costs?
lutik1710 [3]

Answer:

$5.31

Step-by-step explanation:

If you times $.59 seven times you will get $4.13.  

Then, you will have to add $.59 two times.

Finally, you will get $5.31 .

8 0
4 years ago
Other questions:
  • What is the quotient? 5^-6/5^3
    13·2 answers
  • Evaluate the expression when x=2.3, y= -1.6, and z= -4. <br><br>x-y+z​
    14·2 answers
  • RES<br> Find (fºg)(1)<br> Ax) = x2 - 1<br> g(x)= v<br> a 0<br> c. 4.<br> b.<br> d. 18<br> Help pls
    10·2 answers
  • The directions the Clean- All say to mix 1 1/2 cups of cleaner with 2 quarts of water. The directions for Mega- Clean say to mix
    15·1 answer
  • Your company takes orders over the phone. The company’s average time is 4.6 minutes.The graph below shows 4 calls and the differ
    14·2 answers
  • Five dresses have been sewn. Chelsea did 1\7 of the total sewing. What fraction of each dress did she sew?
    12·1 answer
  • Convert 400 U.S. dollars to pesos if 1 peso is 1.208 U.S, dollars
    15·2 answers
  • The price of dried apricots is $4 for every 2/3 pound.what is the price per pound of the dried apricots?
    7·2 answers
  • your basketball team wins a game by 13 points. the opposing team scores 72 points. explain how to find your teams score.
    6·1 answer
  • What is an equivalent expression for 8(3x+2)
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!